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Endomorphisms of Semigroups of Invertible Nonnegative Matrices over Ordered Associative Rings

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Abstract

Let \(R\) be a linearly ordered noncommutative ring with \(1/2\) and let \(G_{n}(R)\) be the subsemigroup of \(\mathrm{GL}_{n}(R)\) consisting of all matrices with nonnegative coefficients. In the paper, endomorphisms of this semigroup are described for \(n\geqslant 3\).

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119234, Moscow, Russia

    V. V. Nemiro

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  1. V. V. Nemiro
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Correspondence to V. V. Nemiro.

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Nemiro, V.V. Endomorphisms of Semigroups of Invertible Nonnegative Matrices over Ordered Associative Rings. Moscow Univ. Math. Bull. 75, 181–187 (2020). https://doi.org/10.3103/S0027132220050058

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  • DOI: https://doi.org/10.3103/S0027132220050058

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